Optical solitons with quadratic nonlinearity by lie symmetry analysis

Sachin Kumar, Michelle Savescu, Qin Zhou, Anjan Biswas*, Milivoj Belic

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

This paper studies similarity solutions of quadratic nonlinear media in presence of spatio-temporal dispersion and inter-modal dispersion. Lie classical method is applied to quadratic nonlinear media and some exact solutions are presented. Later singular soliton solutions are also retrieved by the ansatz approach.

Original languageEnglish
Pages (from-to)1347-1352
Number of pages6
JournalOptoelectronics and Advanced Materials, Rapid Communications
Volume9
Issue number11-12
Publication statusPublished - 1 Nov 2015
Externally publishedYes

Keywords

  • Lie symmetry
  • Quadratic nonlinearity
  • Singular solitons

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